705143040 has 288 divisors, whose sum is σ = 2647061760. Its totient is φ = 156598272.

The previous prime is 705143027. The next prime is 705143057. The reversal of 705143040 is 40341507.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 705143040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994206 + ... + 994914.

Almost surely, 2^705143040 is an apocalyptic number.

705143040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323530880).

705143040 is an abundant number, since it is smaller than the sum of its proper divisors (1941918720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705143040 is a wasteful number, since it uses less digits than its factorization.

705143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 705143040 is about 26554.5295571208. The cubic root of 705143040 is about 890.0732338846.

Adding to 705143040 its reverse (40341507), we get a palindrome (745484547).

The spelling of 705143040 in words is "seven hundred five million, one hundred forty-three thousand, forty".